Book Details



Published by uLektz

Course Code : ULZ0027
Author : uLektz
University : General for All University
Regulation : 2016
Categories : Engineering Mathematics
Format : ico_bookePUB3 (DRM Protected)
Type :



Buy Now

Description :THEORY OF MATRICES of ULZ0027 covers the latest syllabus prescribed by General for All University for regulation 2016. Author: uLektz, Published by uLektz Learning Solutions Private Limited.

Note : No printed book. Only ebook. Access eBook using uLektz apps for Android, iOS and Windows Desktop PC.

1. Real matrices – Symmetric, skew – symmetric, orthogonal
2. Complex matrices: Hermitian, Skew- Hermitian and Unitary Matrices
3. Idempotent matrix, Elementary row and column transformations- Elementary matrix, Finding rank of a matrix by reducing to Echelon and normal forms
4. Finding the inverse of a non-singular square matrix using row/ column transformations (Gauss- Jordan method)
5. Consistency of system of linear equations (homogeneous and non- homogeneous) using the rank of a matrix
6. Solving m x n and n x n linear system of equations by Gauss elimination.
7. Cayley-Hamilton Theorem (without proof) – Verification. Finding inverse of a matrix and powers of a matrix by Cayley-Hamilton theorem, Linear dependence and Independence of Vectors.
8. Eigen values and eigen vectors of a matrix. Properties of eigen values and eigen vectors of real and complex matrices. Finding linearly independent eigen vectors of a matrix when the eigen values of the matrix are repeated.
9. Diagonalization of matrix -Quadratic forms up to three variables.
10. Rank – Positive definite, negative definite, semi definite, index, signature of quadratic forms
11. Reduction of a quadratic form to canonical form, Nature of quadratic forms